Gunnm

The people and cyborgs of the Scrapyard live beneath the floating city of Tiphares, whose inhabitants dump their junk in the Scrapyard and rule above its inhabitants. One day Ido, a former Tipharean citizen and doctor specializing in cyborg repairs, finds the intact head of young cyborg-girl in a vast pile of scrap. He takes her in, gives her a body and the name Alita. Alita then discovers long forgotten fighting techniques hidden in her body and decides to become a hunter-warrior; a bounty collector employed by the factories of Tiphares.